Question

Check whether 7 + 3x is a factor of 3x3 + 7x.​

Answer 1

Answer:

https://www.toppr.com/ask/en-in/question/check-whether-73x-is-a-factor-of-3x37x/

Answer 2

Answer:

No , 7+3x is not factor of 3x³+7x

Step-by-step explanation:

To find whether

$f(x) = 7+ 3xf(x)=7+3x$

is a factor of

$\begin{gathered}g(x) = 3 {x}^{3} + 7x \\ \\ \end{gathered}$

find the value of x from f(x) and put to g(x) ,if expression becomes zero than f(x) is a factor of g(x),otherwise not

$\begin{gathered}f(x)= > 7+3x\\\\3x+7=0\\\\x=\frac{-7}{3} \\\\g(x)=3 {x}^{3} + 7x\\\\g(\frac{-7}{3})=3\Big({\frac{-7}{3}}\Big)^3 + 7 \Big(\frac{-7}{3}\Big)\\ \\\end{gathered}$

$\begin{gathered}g\Big(\frac{-7}{3}\Big)=3\Big(\frac{-343}{27}\Big)-\frac{49}{3}\\\\=-\frac{343}{9}-\frac{49}{3}\\\\= -\frac{490}{9}\\\\\end{gathered}$

g(-7/3) is not zero,hence f(x) is not a factor of g(x)

Hope it helps you.